Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator
Analysis of PDEs
2013-07-08 v2
Abstract
We explicitly evaluate the principal eigenvalue of the extremal Pucci's sup--operator for a class of special plane domains, and we prove that, for fixed area, the eigenvalue is minimal for the most symmetric set.
Keywords
Cite
@article{arxiv.1306.3396,
title = {Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator},
author = {Isabeau Birindelli and Fabiana Leoni},
journal= {arXiv preprint arXiv:1306.3396},
year = {2013}
}
Comments
11 pages, 7 figures